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gradFD for computing gradients and hessians using finite differences

Authors: Luc Laurent;

gradFD for computing gradients and hessians using finite differences

Abstract

gradFD is a MATLAB/OCTAVE's class which can be used for computing the derivatives and hessians of a function using finite differences. Many schemes have been implemented. Notice that the hessian computation remains incomplete and needs to be improved. Features gradFD is able to Compute derivatives with the following schemes forward and backward finite differences of order 1 to 5 (BDx and FDx with x={1,...,5}) central finite differences of order 2 to 8 (CDx with x={2,4,6,8}) Minimize the number of computations (especially the responses at the central points is done only one time) Use a specific stepsize in every direction Generate the set of sample points which can be used externally for computing responses. These responses can be loaded by the class in order to compute the gradients.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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